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Finding the Fourth Proportional to 462.08, 691.84 and 290.56

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Solution

The fourth proportional to 462.08, 691.84 and 290.56 is: 435.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.08 : 691.84 = 290.56 : x
  2. Step 2: Convert to fraction form
    462.08/691.84 = 290.56/x
  3. Step 3: Cross multiply
    462.08x = 691.84 × 290.56
  4. Step 4: Simplify right side
    462.08x = 201,021.03
  5. Step 5: Solve for x
    x = 201,021.03/462.08
  6. Step 6: Final answer
    x = 435.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.